| 主零化子-平坦模的等价刻画及性质 |
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| 引用本文： | 徐龙玉.主零化子-平坦模的等价刻画及性质[J].内江师范学院学报,2010,25(2):9-11,22. |
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| 作者姓名： | 徐龙玉 |
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| 作者单位： | 西南科技大学理学院,四川,绵阳,621010 |
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| 摘 要： | 将平坦模的理想条件弱化为主零化子理想条件，给出了主零化子一平坦模的概念，推广了平坦模，并利用×和正合列讨论了主零化子-平坦模的等价刻画．同时从子模、直和与直积等方面讨论了主零化子一平坦模的性质．
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| 关 键 词： | 主零化子-平坦模 等价刻画 性质 |
The Equivalent Depiction of the Principal Annihilator-Fiat Module and Its Properties |
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| XU Long-yu.The Equivalent Depiction of the Principal Annihilator-Fiat Module and Its Properties[J].Journal of Neijiang Teachers College,2010,25(2):9-11,22. |
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| Authors: | XU Long-yu |
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| Institution: | College of Science/a>;Southwest University of Science & Technology/a>;Mianyang/a>;Sichuan 621010/a>;China |
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| Abstract: | The ideal conditions of the flat module is reduced to the ideal conditions of the principal annihilator, and the notion of the principal annihilator-flat module is brought forth and generalized. Then the × and exact sequences are used to study the equivalent depictions of the principal annihilator flat module. At the same time the properties of the principal annihilator flat module are discussed from the perspectives of the submodule, the direct sum, the direct product and so on. |
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| Keywords: | principal annihilator flat modules equivalent depictions properties |
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